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Suppose that based on data obtained from a hypothetical social survey on COVID-19 vaco nation among the US adults we obtained the following equations. The response variable vaccination status with three different categories, will not get a vaccine (WNG), will get vaccine (WG), have already received at least one dose of vaccine (G). The covariates in th study are 1) race with three categories black (B), hispanic (H) , white (W), 2) income wit three categories high (H), middle (M), low (L), and 3) gender with two categories female (1

Suppose that based on data obtained from a hypothetical social survey on COVID-19 vaco nation among the US adults we obtained the following equations. The response variable vaccination status with three different categories, will not get a vaccine (WNG), will get vaccine (WG), have already received at least one dose of vaccine (G). The covariates in th study are 1) race with three categories black (B), hispanic (H) , white (W), 2) income wit three categories high (H), middle (M), low (L), and 3) gender with two categories female (1

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose that based on data obtained from a hypothetical social survey on COVID-19 vacci- nation among the US adults we obtained the following equations. The response variable is vaccination status with three different categories, will not get a vaccine (WNG), will get a vaccine (WG), have already received at least one dose of vaccine (G). The covariates in the study are 1) race with three categories black (B), hispanic (H) , white (W), 2) income with three categories high (H), middle (M), low (L), and 3) gender with two categories female (F) and male (M). TG log TWNG 1+0.41(race = H)+0.31(race = W)+0.1I(gender = M) -0.41(income = L) – 0.2I(income = M), | TWG log TWNG 1.25 + 0.21(race = H) + 0.28I(race = W) + 0.18I(gender = M) -0.251(income = L) – 0.15I(income = M). Here I denotes the indicator function, and TG, TWNG and TWG are the probabilities for three categories of the response variable. Obtain the prediction equation for log(TG/TwG). Obtain the numeric values of TG, TWNG and TWG for white male in the low income group. Report the results upto three decimal places.
Transcribed Image Text:Suppose that based on data obtained from a hypothetical social survey on COVID-19 vacci- nation among the US adults we obtained the following equations. The response variable is vaccination status with three different categories, will not get a vaccine (WNG), will get a vaccine (WG), have already received at least one dose of vaccine (G). The covariates in the study are 1) race with three categories black (B), hispanic (H) , white (W), 2) income with three categories high (H), middle (M), low (L), and 3) gender with two categories female (F) and male (M). TG log TWNG 1+0.41(race = H)+0.31(race = W)+0.1I(gender = M) -0.41(income = L) – 0.2I(income = M), | TWG log TWNG 1.25 + 0.21(race = H) + 0.28I(race = W) + 0.18I(gender = M) -0.251(income = L) – 0.15I(income = M). Here I denotes the indicator function, and TG, TWNG and TWG are the probabilities for three categories of the response variable. Obtain the prediction equation for log(TG/TwG). Obtain the numeric values of TG, TWNG and TWG for white male in the low income group. Report the results upto three decimal places.
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